Monotonicity criteria for an energy-period function in planar Hamiltonian systems

被引：8

作者：

Zevin, AA

Pinsky, MA

机构：

[1] Ukrainian Acad Sci, Transmag Res Inst, UA-320005 Dnepropetrovsk, Ukraine

[2] Univ Nevada, Dept Math, Reno, NV 89511 USA

来源：

NONLINEARITY | 2001年 / 14卷 / 06期

关键词：

D O I：

10.1088/0951-7715/14/6/301

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

For planar Hamiltonians H = H(x, y), monotonicity of the energy-period function T (h) is studied. The known results on the problem relate only to the special case of Hamiltonians with separated variables H(x, y) = F(x) + G(y). In this paper, a new approach (based on an analysis of the associated variational equation) is developed; as a result, monotonicity criteria which embrace general Hamiltonians H(x, y) are obtained. Moreover, monotonicity criteria for the eigenvalue-norm functions in two-point boundary value problems are found.

引用

页码：1425 / 1432

页数：8

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